Question

Which values of x is the solution set of the inequality 7 (x+1) > -14?

Answer 1

The solution of given inequality is:
`x>-3`

Solution:

Given inequality is:

`7(x+1)>-14`

We have to find the value of "x"

Let us solve the given inequality

Divide both sides of inequality by 7

`(7\left(x+1\right))/(7)>(-14)/(7)\\`

Simplify the above expression

`(x+1)>-2`

`x+1>-2`

`\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides\: of\: inequality}`

`x+1-1>-2-1\\\\x>-3`

Thus the value of x is
`x>-3`